Nov 14, 2012 Thread starter #1 J Jack New member Nov 8, 2012 9 Let m be a measure defined on Borel sets in the reals R by: m(E) = ∫_E dx/(1+x^2 ) . Find m(R) . Let m be a measure defined on Borel sets in the reals R by: m(E) = ∫_E dx/(1+x^2 ) . Find m(R) .

Let m be a measure defined on Borel sets in the reals R by: m(E) = ∫_E dx/(1+x^2 ) . Find m(R) . Let m be a measure defined on Borel sets in the reals R by: m(E) = ∫_E dx/(1+x^2 ) . Find m(R) .

Nov 14, 2012 #2 E Evgeny.Makarov Well-known member MHB Math Scholar Jan 30, 2012 2,562 Re: Let m be a measure defined on Borel sets in the reals R by: m(E) = ∫_E dx/(1+x^2 ) . Find m(R) . \(\int_{-\infty}^\infty \frac{dx}{1+x^2}=\pi\).

Re: Let m be a measure defined on Borel sets in the reals R by: m(E) = ∫_E dx/(1+x^2 ) . Find m(R) . \(\int_{-\infty}^\infty \frac{dx}{1+x^2}=\pi\).